A signed hypergraph can be also viewed as a hypergraph \(H=(V, E)\)  such that \(V\)  is a finite set of vertices and \(E\)  is a set such that every element \(h\)  in \(E\)  is a pair of disjoint elements \((V_{+}, V_{-})\)  in \(2^{V}\) , where \(V_{+}\)  represents the vertex set of vertex-edge incidence \(\sigma (v, e, k)=+1\) , and \(V_{-}\)  represents the vertex set of vertex-edge incidence \(\sigma (v, e, k)=-1\) , respectively. We easily see \(h\)  as \(V_{+}\cup V_{-}\) . From this point of view, signed hypergraph is similar with the chemical hypergraphs in [1]} and the oriented hypergraph in [2]}.
